Translators of the Mean Curvature Flow in Hyperbolic Einstein’s Static Universe Ortega Titos, Miguel Yalçın, Buse Translator mean curvature flow hyperbolic Einstein’s static universe In this study, we deal with non-degenerate translators of the mean curvature flow in the wellknown hyperbolic Einstein’s static universe. We classify translators foliated by horospheres and rotationally invariant ones, both space-like and time-like. For space-like translators, we show a uniqueness theorem as well as a result to extend an isometry of the boundary of the domain to the whole translator, under simple conditions. As an application, we obtain a characterization of the the bowl when the boundary is a ball, and of certain translators foliated by horospheres whose boundary is a rectangle. 2024-09-25T11:28:26Z 2024-09-25T11:28:26Z 2024-04-23 journal article Ortega Titos, O. & Yalçın, B. Volume 17 No. 1 page 157–170 (2024). [https://doi.org/10.36890/iejg.1437356] https://hdl.handle.net/10481/95086 10.36890/iejg.1437356 eng http://creativecommons.org/licenses/by-nc/4.0/ open access Atribución-NoComercial 4.0 Internacional Dergi Park Akademik